4 citations · 4 across the 7 of their papers we have counts for
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(Sharp arithmetic) localization beyond transversality
Svetlana Jitomirskaya, Netanel Levi, Tom Stoiber
We prove sharp arithmetic localization for one-dimensional quasiperiodic potentials with jump discontinuities, beyond uniform transversality. Our results include every non-constant…
The Point Spectrum Of Periodic Quantum Trees
Jonathan Breuer, Netanel Y. Levi
We study the point spectrum of a periodic quantum tree equipped with a Schrödinger type differential operator with delta-type vertex conditions, using subsets of the compact graph…
On a Question of Poltoratski
Netanel Levi
We study half-line discrete Schrödinger operators and their rank-one perturbations. We establish certain continuity and stability properties of the Fourier transform of the associa…
On Fractal Continuity Properties of Certain One-Dimensional Schrödinger Operators
Netanel Levi
We construct examples of one-dimensional Schrödinger operators that illustrate the subtle nature of fractal continuity properties of spectral measures. First, we present half-line…
Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials
Netanel Levi
Let be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\left…
Eigenfunction Expansion and the Decomposition of Jacobi Operators on
Netanel Levi
Let be a Jacobi operator on . We prove an eigenfunction expansion theorem for the singular part of using subordinate solutions to the eigenva…